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LCM of 987, 644, 230, 213, 819

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 987, 644, 230, 213, 819 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 987, 644, 230, 213, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,644,230,213,819

Given numbers are 987,644,230,213,819

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 987,644,230,213,819 is 1257181380.

Find LCM of 987,644,230,213,819 with Prime Factorization


2 987, 644, 230, 213, 819
3 987, 322, 115, 213, 819
7 329, 322, 115, 71, 273
23 47, 46, 115, 71, 39
47, 2, 5, 71, 39

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 23 x 47 x 2 x 5 x 71 x 39 = 1257181380

Therefore, the lowest common multiple of 987,644,230,213,819 is 1257181380.

LCM Formula to Find Lowest Common Multiple of 987,644,230,213,819

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

987 x 644 x 230 x 213 x 819 = 25503181474680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

987 : 1, 3, 7, 21, 47, 141, 329, 987

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

230 : 1, 2, 5, 10, 23, 46, 115, 230

213 : 1, 3, 71, 213

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,644,230,213,819, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

644:2x 2x 7x 23

230:2x 5x 23

213:3x 71

819:3x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7x 23 = 20286

Therefore, the value for common factors is 20286.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 25503181474680/(1x20286)

LCM = 25503181474680/20286

LCM = 1257181380

Thus, we can understand that the LCM of 987,644,230,213,819 is 1257181380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 644, 230, 213, 819

1. What is the LCM of 987, 644, 230, 213, 819?

Answer: LCM of 987, 644, 230, 213, 819 is 1257181380.

2. How to calculate the LCM of 987, 644, 230, 213, 819?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 987, 644, 230, 213, 819.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.